Triangular arbitrage questions

I don't have access to AUD/NZD futures or Forex. But would long AUD/USD futures and short NZD/USD futures give me the same outcome? I think it can based on something i was told a decade or two ago, but I have forgotten.
 
I don't have access to AUD/NZD futures or Forex. But would long AUD/USD futures and short NZD/USD futures give me the same outcome? I think it can based on something i was told a decade or two ago, but I have forgotten.

Yeah, you would be long AUD/NZD.
 
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